In this paper it is shown that the functions f(z) = se z are the only nonconstant entire (meromorphic) functions which share two (three) distinct finite values with their derivative.
I. EINLEITUNG UND ERGEBNISSE
Abstract-We give a new proof of the fact that the solutions of Painlevé's differential equations I, II and IV are meromorphic functions in the complex plane. The method of proof is based on differential inequality techniques.
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